693898223616 has 560 divisors, whose sum is σ = 2248309995624. Its totient is φ = 211996901376.

The previous prime is 693898223611. The next prime is 693898223647. The reversal of 693898223616 is 616322898396.

693898223616 is a `hidden beast` number, since 6 + 9 + 3 + 8 + 9 + 8 + 2 + 2 + 3 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 465888153600 + 228010070016 = 682560^2 + 477504^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (693898223611) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2216927076 + ... + 2216927388.

Almost surely, 2^693898223616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 693898223616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124154997812).

693898223616 is an abundant number, since it is smaller than the sum of its proper divisors (1554411772008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

693898223616 is a wasteful number, since it uses less digits than its factorization.

693898223616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 588 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 693898223616 in words is "six hundred ninety-three billion, eight hundred ninety-eight million, two hundred twenty-three thousand, six hundred sixteen".